length n = 105
dimension k = 3
alphabet length q = 3

minimum distance d = 72

generator matrix:
000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111
000000001111111111111111111111110000000000000000000000001111111111111111111111112222222222222222222222222
111111110000000011111111222222220000000011111111222222220000000011111111222222220000000011111111222222222

projective group of automorphisms generated by:
100
010
001